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Engineering Tables Z Transform Backdrop
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^
|
X(z)=mathcal
| ROC:
r_2<|z|
|-
! Linearity
|
a_1 x_1 + a_2 x_2
|
a_1 X_1(z) + a_2 X_2(z)
| At atomic the circle of ROC
1
and ROC
2
|-
!
Time
shifting
|
x
|
z^X(z)
| ROC, except
z=0
if
k>0,
and
z=infty
if
k<0
|-
! Ascent in the z-domain
|
a^n x
|
X(a^z)
|
|a|r_2<|z|<|a|r_1
|-
! Time reversal
|
x
|
X(z^)
|
frac<|z|
|-
! Conjugation
|
x^ |
X^ | ROC
|-
! Absolute part
|
operatorname\
|
fracleft[=lim_(z-1)X(z)
, Alone if poles of
(z-1)X(z)
are central assemblage amphitheater
,
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Engineering Tables Laplace Transform Table 2
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